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LTC6103
10
6103f
Error Sources
The current sense system uses an amplifier and resistors
to apply gain and level shift the result. The output is then
dependent on the characteristics of the amplifier, such as
bias current and input offset, as well as resistor matching.
Ideally, the circuit output is:
In this case, the only error is due to resistor mismatch,
which provides an error in gain only. However, offset
voltage, bias current and finite gain in the amplifier cause
additional errors.
V
V
R
R
V
R
I
OUT
SENSE
OUT
IN
SENSE
SENSE
SENSE
=
=
Output Error, E
OUT
, Due to the Amplifier DC Offset
Voltage, V
OS
R
R
IN
The DC offset voltage of the amplifier adds directly to the
value of the sense voltage, V
SENSE
. This is the dominant
error of the system and it limits the available dynamic
range. The paragraph, Selection of External Current Sense
Resistor provides details.
E
V
OUT VOS
(
OS
OUT
)
=
Output Error, E
OUT
, Due to Bias Currents
The bias current I
B
(+) flows into the positive input of the
internal op amp. I
B
(–) flows into the negative input.
E
OUT(IBIAS)
= R
OUT
(I
B
(+) (R
SENSE
/R
IN
) – I
B
(–))
Since I
B
(+) ≈ I
B
(–) = I
BIAS
, if R
SENSE
<< R
IN
then:
E
OUT(IBIAS)
≈ –R
OUT
I
BIAS
For instance, if I
BIAS
is 100nA and R
OUT
is 1k, then the
output error is 0.1mV.
Output Error, E
OUT
, Due to PCB Trace Resistance
The LTC6103 uses the +IN pin for both the positive amplifier
input and the positive supply input for the amplifier. The
supply current can cause an output error if trace resistance
between R
SENSE
and +IN is significant (Figure 4).
E
OUT(RT_+IN)
= (I
S
R
T
/R
IN
) R
OUT
Trace resistance to the –IN pin will increase the effective
R
IN
value, causing a gain error. In addition, internal device
resistance will add approximately 0.3
Ω
to R
IN
.
Minimizing the trace resistance is important and care
should be taken in the PCB layout. Make the trace short
and wide. Kelvin connection to the shunt resistor pad
should be used.
APPLICATIONS INFORMATION
Figure 4. Error Due to PCB Trace Resistance
+
–
+IN
OUT
V
S
I
S
1/2
LTC6103
–IN
R
IN
R
T
R
T
R
SENSE
V
+
V
–
R
OUT
6103 F04
LOAD
I
LOAD
Output Error, E
OUT
, Due to the Finite DC Open-Loop Gain,
A
OL
, of the LTC6103 Amplifier
This error is inconsequential as the A
OL
of the LTC6103
is very large.
Design Example:
If I
SENSE
range = (1A to 1mA) and:
V
I
A
SENSE
1
V
OUT
=
3